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LCM of 129, 624, 826, 708, 509

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 129, 624, 826, 708, 509 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 129, 624, 826, 708, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,624,826,708,509

Given numbers are 129,624,826,708,509

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 129,624,826,708,509 is 5640542544.

Find LCM of 129,624,826,708,509 with Prime Factorization


2 129, 624, 826, 708, 509
2 129, 312, 413, 354, 509
3 129, 156, 413, 177, 509
59 43, 52, 413, 59, 509
43, 52, 7, 1, 509

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 59 x 43 x 52 x 7 x 1 x 509 = 5640542544

Therefore, the lowest common multiple of 129,624,826,708,509 is 5640542544.

LCM Formula to Find Lowest Common Multiple of 129,624,826,708,509

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

129 x 624 x 826 x 708 x 509 = 23961024726912

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

129 : 1, 3, 43, 129

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

826 : 1, 2, 7, 14, 59, 118, 413, 826

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,624,826,708,509, is 1.

Now, the common factors can be found like this.

129:3x 43

624:2x 2x 2x 2x 3x 13

826:2x 7x 59

708:2x 2x 3x 59

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 59 = 4248

Therefore, the value for common factors is 4248.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 23961024726912/(1x4248)

LCM = 23961024726912/4248

LCM = 5640542544

Thus, we can understand that the LCM of 129,624,826,708,509 is 5640542544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 624, 826, 708, 509

1. What is the LCM of 129, 624, 826, 708, 509?

Answer: LCM of 129, 624, 826, 708, 509 is 5640542544.

2. How to calculate the LCM of 129, 624, 826, 708, 509?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 129, 624, 826, 708, 509.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.